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Multiply the Complex Numbers 9(cos7π6+isin7π6)4(cos3π7+isin3π7)9 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right) 4 \left( \cos \frac { 3 \pi } { 7 } + i \sin \frac { 3 \pi } { 7 } \right)

Question 289

Multiple Choice

Multiply the complex numbers.Write the answer in trigonometric form. 9(cos7π6+isin7π6) 4(cos3π7+isin3π7) 9 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right) 4 \left( \cos \frac { 3 \pi } { 7 } + i \sin \frac { 3 \pi } { 7 } \right)


A) 36(cos67π42+isin67π42) 36 \left( \cos \frac { 67 \pi } { 42 } + i \sin \frac { 67 \pi } { 42 } \right)
B) 36(cos10π13+isin10π13) 36 \left( \cos \frac { 10 \pi } { 13 } + i \sin \frac { 10 \pi } { 13 } \right)
C) 36(cosπ2+isinπ2) 36 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)
D) 13(cos67π42+isin67π42) 13 \left( \cos \frac { 67 \pi } { 42 } + i \sin \frac { 67 \pi } { 42 } \right)
E) 13(cosπ2+isinπ2) 13 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)

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